
                    Review of Useful Facts and Formulae.
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All calculus instructors expect you to know the following, even if no
explicit reference is made to them.  For example, even though I might never
mention an isosceles triangle in class, I wouldn't hesitate to set an exam
question which would involve knowing the properties of such a triangle.


  The area of a triangle with vertical height h and base length b is bh/2 .

                                              2
  The area of a square with side length a is a  .


  The area of a rectangle with side lengths a and b is  ab.


  The area of a parallelogram with vertical height h and base length b is bh.

                                             2
  The area of a circle with radius  r  is  πr  .


  The diameter of a circle with radius  r  is  2r .


  The circumference of a circle with radius  r  is  2πr .

                                             3
  The volume of a cube of side length a is  a  .

                                                    2
  The surface area of a cube of side length a is  6a  .


  The volume of a shoe box with side lengths a, b and c is  abc .


  The surface area of a shoe box with side lengths a, b and c is
                      2(ab + ac + bc).
  
                                                                  2
  The volume of a cylinder with height h and base radius r is  πhr   .


  The surface area of a cylinder with height h and base radius r is 2πrh.

                                              3
  The volume of a sphere with radius r is  4πr /3 .

                                                    2
  The surface area of a sphere with radius r is  4πr  .


  The distance between the point (x, y) and the point (a, b) is
                    _______________________
                    ▌        2           2
                   \▌ (x - a)  +  (y - b)   .


  An isosceles triangle has at least two sides of equal length.


  An equilateral triangle has all three sides of equal length.


  Speed = distance/time.


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